In this Note, we use Connes' theory of spectral triples to provide a connection between Manin's model of the dual graph of the fiber at infinity of an Arakelov surface and the cohomology of the mapping cone of the local monodromy.
Dans cette Note nous employons la théorie des triplets spectraux de Connes pour rapprocher le modèle de Manin du graphe dual de la fibre à l'infini d'une surface d'Arakelov et la cohomologie du cône de la monodromie locale.
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@article{CRMATH_2002__335_10_779_0, author = {Consani, Caterina and Marcolli, Matilde}, title = {Triplets spectraux en g\'eom\'etrie {d'Arakelov}}, journal = {Comptes Rendus. Math\'ematique}, pages = {779--784}, publisher = {Elsevier}, volume = {335}, number = {10}, year = {2002}, doi = {10.1016/S1631-073X(02)02569-4}, language = {fr}, url = {http://archive.numdam.org/articles/10.1016/S1631-073X(02)02569-4/} }
TY - JOUR AU - Consani, Caterina AU - Marcolli, Matilde TI - Triplets spectraux en géométrie d'Arakelov JO - Comptes Rendus. Mathématique PY - 2002 SP - 779 EP - 784 VL - 335 IS - 10 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/S1631-073X(02)02569-4/ DO - 10.1016/S1631-073X(02)02569-4 LA - fr ID - CRMATH_2002__335_10_779_0 ER -
%0 Journal Article %A Consani, Caterina %A Marcolli, Matilde %T Triplets spectraux en géométrie d'Arakelov %J Comptes Rendus. Mathématique %D 2002 %P 779-784 %V 335 %N 10 %I Elsevier %U http://archive.numdam.org/articles/10.1016/S1631-073X(02)02569-4/ %R 10.1016/S1631-073X(02)02569-4 %G fr %F CRMATH_2002__335_10_779_0
Consani, Caterina; Marcolli, Matilde. Triplets spectraux en géométrie d'Arakelov. Comptes Rendus. Mathématique, Volume 335 (2002) no. 10, pp. 779-784. doi : 10.1016/S1631-073X(02)02569-4. http://archive.numdam.org/articles/10.1016/S1631-073X(02)02569-4/
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